What is the 938th prime number?
The 938th prime number is 7369. The next prime is 7393 (a gap of 24) and the one before is 7351.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 938th one is 7369.
- 2
7369 is prime because no prime up to ā7369 ā 85.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 938th prime is close to 938 Ć ln(938) ā 6419, and here it is 7369.
- 4
7369 has no twin: neither 7367 nor 7371 is prime.
Primes around the 938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 935 | 7333 | 2 |
| 936 | 7349 | 16 |
| 937 | 7351 | 2 |
| 938 | 7369 | 18 |
| 939 | 7393 | 24 |
| 940 | 7411 | 18 |
| 941 | 7417 | 6 |
Questions
What is the 938th prime number?
7369.
Which prime number is 7369?
7369 is the 938th prime number.
What is the sum of the first 938 primes?
3,208,583.